L.P. Model: Maximize Subject to: Z= 8X+6Y 1X+2Y≤8 5X+4Y ≤20 X,Y 20 (C₁) (C₂) On the graph on right, the constraints C, and C₂ have been plotted. Using the point drawing tool, plot the four corner points for the feasible area. 20- 18+ 16- 14- 12- > 10- 8- 6- 4 2- 0+ 2 4 6 8 10 X 12 14 16 18 20
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- 2. Maximize subject to p = x + 2y X +3y24 2x + y 18 x ≥ 0, y ≥ 0.L.P. Model: Minimize Subject to: Z = 24X + 15Y 7X+11Y 288 16X+4Y≥64 X,Y 20 On the graph on right, constraints C, and C, have been drawn. Using the point drawing tool, plot all the corner points for the feasible area. (C₁) (C₂) 24- 22- 20- 18- 16- 14- 12- 104 8 6- 4- 2- 0+ 0 2 4 6 8 10 12 14 16 18 20 22 24 X Q SExplain or define each of these terms:a. Laplace criterionb. Minimax regretc. Expected valued. Expected value of perfect information
- L.P. Model: Minimize Subject to: Z = 15X+12Y 7X+11Y288 (C₂) (C₂) 16X+4Y280 X,Y 20 On the graph on right, constraints, C, and C₂ have been drawn. Using the point drawing tool, plot all the corner points for the feasible area. 24- 22- 20- 18- 16- 14- 12- 10 8- 64 4- 2- -N 10 12 14 16 18 20 22 24 X C G1. Given the LP model below. Do the following: a. Formulate the new LP model. b. Set up the initial table then identify the optimum column, pivotal row, entering variable out, going variable, Zj row entries, and Cj n-Zj row entries Maximize eamings = $0.80xX₁ + $0.40X₂ + $1.20X3 - $0.10X4 subject to X₁ + 2X₂ + X3 + 5X₁150 X₂ 4X₂ + 8X₂ = 70 6X₁ + 7X₂ + 2X3 - X₂ 120 X₁, X₂, X₁, X₁Z 03) Maximize Z= 2x, +x2 +3x 3 X+x2+2x3 <25 + X3 5 8 X2+ x3 S10 X1, X2, X3 2 0 Subject to IMe
- variables $E$11 47000 0 35 7.0000001 8.0000001 BO Constraints Final Shadow Constraint Allowable Allowable Cell Name Value Price R.H. Side Increase Decrease $B$16 LHS 55000 41 55000 10500 47000 $B$17 LHS 72000 35 72000 10500 47000 $B$18 LHS 80000 -8 80000 47000 10500 10500 $B$19 LHS 47000 0 57500 1E+30 The answers to the questions are found in this sensitivity report. Questions: Write your responses in the space provided 1. What is the range of optimality for the BN and BO variables? write your answers in this format: Lower limit <= Coefficient of BN <= Upper limit. Example 22 <= C of BN <= 40 2. What is the range of feasibility for the constraints located on B17 and B18? 3. If the right-hand side of the constraint located on B17 is decreased by 200, what is the effect on the value of the objective function?Maximize p = 10x + 20y + 15z subject to x + 2y + z ≤ 40 2y − z ≥ 10 2x − y + z ≥ 20 x ≥ 0, y ≥ 0, z ≥ 0.TUTORIAL DECISION ANALYSIS 1. e) 0 B) 2. Even though independent gasoline stations have been having a difficult time, Susan Solomon has been thinking about starting her own independent gasoline station. Susan's problem is to decide how large her station should be. The annual returns will depend on both the size of her station and a number of marketing factors related to the oil industry and demand for gasoline. After a careful analysis, Susan developed the following table: Size of First Station Small Medium Large Extra Large Stock Market Bonds CDs Good Market (5) Probability a) b) 50,000 80,000 Decision Alternative. 100,000 300,000 Fair Market (S) 20,000 30,000 30,000 25,000 For example, if Susan constructs a small station and the market is good, she will realize a profit of $50,000. what is the criterion of realism decision? Use an a value of 0.8. Develop an opportunity loss table? What is the minimax regret decision? Mickey Lawson is considering investing some money that he…
- example 1a 1.plot all the corner points for the feasible area. 2. Find the optimum solution to X= Y= VALUE Z=A committee in charge of promoting a Ladies Professional Golf Association tournament is trying to determine how best to advertise the event during the two weeks prior to the tournament. The committee obtained the following information about the three advertising media they are considering using. Cost per Audience Reached per Advertisement Advertisement Category TV Radio Internet s.t. Priority Level 2 Goal Priority Level 3 Goal Goal 1: Reach at least 3.7 million people. Priority Level Goal TV limit X₁ <10 Radio limit X₂ ≤ 15 Internet limit X3 ≤18 The last column in this table shows the maximum number of advertisements that can be run during the next two weeks; these values should be treated as constraints. The committee established the following goals for the campaign. Priority Level 1 Goal Goal 1 200,000 Goal 2 50,000 Goal 3 100,000 X Goal 2: The number of television advertisements should be at least 30% of the total number of advertisements. ✓ $2,500 X $400 Goal 3: The number of radio…PROBLEM-2 XYZ Company manufactures a number of products. One important product is Q. which consists of two internally manufactured items Rand S as in the figure below: R (1 Piece) ITEM Q R S Item Q is assembled in an assembly station, A 10; Item R is in work center WC 30, and item S is manufactured in work center WC 70. Operation data for product Q and items R and S are shown in the table: ITEM Q Week Gross Requirements Lot size Lot for lot 50 150 1 40 Q Work Center 2 80 A 10 WC 30 WC 70 3 40 S (3 Pieces) 4 30 Setup time (Hrs) 0 3.0 2.0 5 40 6 30 Runtime per piece Lead Time (weeks) (Hrs) 1.7 1.0 1.0 1 1 1 1 Determine "capacity requirements planning" stated for product Q in the work centers A 10, WC 30, and W 70 for the next weeks on the basis of material requirements planning carried out.